点击次数：

论文类型：期刊论文

发表时间：2015-07-01

发表刊物：CHINESE ANNALS OF MATHEMATICS SERIES B

收录刊物：SCIE、ISTIC、CSCD、Scopus

卷号：36

期号：4

页面范围：579-602

ISSN号：0252-9599

关键字：Hypersurfaces; Tangent bundle; Mean curvature vector; Sasaki metric; Almost complex structure; Kahlerian form

摘要：Let (M-n, g) and (Nn+1, G) be Riemannian manifolds. Let TMn and TNn+1 be the associated tangent bundles. Let f : (M-n, g) -> (Nn+1, G) be an isometrical immersion with g = f* G, F = (f, df) : (T M-n, (g) over bar) -> (TNn+1, G(s)) be the isometrical immersion with (g) over bar = F* G(s) where (df)(x) : TxM -> T-f(x) N for any x is an element of M is the differential map, and Gs be the Sasaki metric on TN induced from G. This paper deals with the geometry of TMn as a submanifold of TNn+1 by the moving frame method. The authors firstly study the extrinsic geometry of TMn in TNn+1. Then the integrability of the induced almost complex structure of TM is discussed.